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Finding the Fourth Proportional to 10,251.14, 15,385.82 and 5,324.18

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Solution

The fourth proportional to 10,251.14, 15,385.82 and 5,324.18 is: 7,991.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.14 : 15,385.82 = 5,324.18 : x
  2. Step 2: Convert to fraction form
    10,251.14/15,385.82 = 5,324.18/x
  3. Step 3: Cross multiply
    10,251.14x = 15,385.82 × 5,324.18
  4. Step 4: Simplify right side
    10,251.14x = 81,916,771.58
  5. Step 5: Solve for x
    x = 81,916,771.58/10,251.14
  6. Step 6: Final answer
    x = 7,991.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.